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natita [175]
3 years ago
13

A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b

elow:
Male Female
Type A 65 85
Type B 38 12
Compare P(female | Type B) with P(Female or Type B)
A) P(Female | Type B) < P(Female or Type B)
B) P(Female | Type B) > P(Female or Type B)
C) P(Female | Type B) = P(Female or Type B)
D) There is not enough information.
Mathematics
1 answer:
aalyn [17]3 years ago
7 0
D) there is not enough information
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Each unit on the map represents 5 miles. If you drive 20% of the way from Landview to Seaside, how many miles have you driven, a
dimulka [17.4K]
We use the distance formula for this problem.

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The distance between point (-2,-2) and point (-2,4).
d = √[(⁻2 - ⁻2)² + (4 - ⁻2)²] = 6 units

Then, compute for 20% of 6 units:
Distance traveled = 6(0.2) = 1.2 units

Use 1.2 units as distance and the starting point (-2,-2). The x-coordinate should still be at -2 because the distance is a straight line as shown in the picture.
1.2 = √[(-2 - ⁻2)² + (y - ⁻2)²]
Solving for y,
y = -0.8

The point is found at (-2,-0.8). This is located at quadrant 3. As to the distance traveled, that would be: 1.2*6 = 6 miles. Thus, the answer is C.

5 0
3 years ago
Read 2 more answers
Please solve with explanation I’ve been asking all day (this is not a multiple choice question)
Anastaziya [24]

Answer:

a) SA = 522.9~cm^2

b) V_{cone} = 670.2~cm^3

c) V_{empty} = 1340.4~cm^3

Step-by-step explanation:

a)

For a cone,

SA = \pi r (L + r)

where L = slant height

L = \sqrt{r^2 + h^2}

We have r = 8 cm; h = 10 cm

L = \sqrt{(8~cm)^2 + (10~cm)^2}

L = \sqrt{164~cm^2}

SA = (\pi)(8~cm)(\sqrt{164~cm^2} + 8~cm)

SA = 522.9~cm^2

b)

V_{cone} = \dfrac{1}{3}\pi r^2 h

V_{cone} = \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)

V_{cone} = 670.2~cm^3

c)

V_{cylinder} = \pi r^2 h

empty space = volume of cylinder - volume of cone

V_{empty} = V_{cylinder} - V_{cone}

V_{empty} = \pi r^2 h - \dfrac{1}{3}\pi r^2 h

V_{empty} = (\pi)(8~cm)^2(10~cm) - \dfrac{1}{3}(\pi)(8~cm)^2(10~cm)

V_{empty} = 1340.4~cm^3

3 0
3 years ago
The expression 0.09x+(x-30) models the final price of a bicycle is its an instant rebate in a state that charges a sales tax. Th
svlad2 [7]

Answer:

<em>A)0.09x</em>

Step-by-step explanation:

The original price of the bicycle is x.

The discounted price of the bicycle is x - 30. It is a $30 discount.

The tax goes on the original price. 0.09x is the 9% tax applied to the original price x.

Answer: 0.09x

6 0
3 years ago
Read 2 more answers
Which shows the best estimate to use<br> to find 43 × 78?
Over [174]

Answer:

The best estimate for 43x78 is 40x80

Step-by-step explanation:

43 rounded to the nearest ten is 40.

78 rounded to the nearest ten is 80.  

The answer to 40x80 is 3200

4 0
3 years ago
X - 32.2 = 18.5 how do you solved this
Salsk061 [2.6K]

x-32.2= 18.5

Add 32.2 to both sides

x-32.2+32.2 = 18.5 + 32.2

x = 50.7

I hope that's help !


Check your answer

replace x by its number

50.7-32.2= 18.5

18.5 = 18.5

so the answer is good .


Please let me know if you have question(s) !


3 0
3 years ago
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